
few functions questions
So i just did a practice exam.. since i cant find any solutions anywhere i thought i would verify questions im not sure about.
1.) g(x) = x^2+3
h(x)= sqrt(x)
evaluate g(h(5))
h(5) = sqrt(5)
g(h(5))= (sqrt(5))^2+3
= 5+3 = 8
is that right?
2.) for inverse functions you just reverse the values so for
A(1,3) B(2,4)
inverse is
A(3,1) B(4,2)
?
3.) for function y=loge(x) apply following transformations
reflection in x axis
= loge(x)
reflection in y axis
= loge(x)
dilation by factor 3 in x axis
= 3loge(x)
dilation by factor 1/2 in y axis
= 3loge(2x)
translation 4 right 1 up
3loge(2x4)+1
is this right? im not sure
